A complete survey of texture zeros in the lepton mass matrices

Abstract

We perform a systematic and complete analysis of texture zeros in the lepton mass matrices and identify all viable and maximally restrictive cases of pairs (M_\ell, M_D) and (M_\ell, M_L), where M_\ell, M_D and M_L are the charged-lepton, Dirac neutrino and Majorana neutrino mass matrices, respectively. To this end, we perform a thorough analysis of textures which are equivalent through weak-basis permutations. Furthermore, we introduce numerical measures for the predictivity of textures and apply them to the viable and maximally restrictive texture zero models. It turns out that for Dirac neutrinos these models can at most predict the smallest neutrino mass and the CKM-type phase of the mixing matrix. For Majorana neutrinos most models can, in addition, predict the effective neutrino mass for neutrinoless double beta decay. Apart from one model, which has marginal predictive power with respect to sin^2(theta_23), no other model can predict any of the already measured observables.

32 pages, 1 figure; corrections in the computer code, numerical analysis repeated, conclusions almost unchanged, changes in tables 9-14

References in corpus (15)

• Global status of neutrino oscillation parameters after Neutrino-2012
• Global fit to three neutrino mixing: critical look at present precision
• Neutrino oscillations refitted
• Phenomenology of Two-Texture Zero Neutrino Mass Matrices
• Phenomenological Implications of a Class of Neutrino Mass Matrices
• Weak Basis Transformations and Texture Zeros in the Leptonic Sector
• Texture 4 zero Fritzsch-like lepton mass matrices
• Abelian realization of phenomenological two-zero neutrino textures
• Near Maximal Atmospheric Neutrino Mixing in Neutrino Mass Models with Two Texture Zeros
• Implications of Fritzsch-like lepton mass matrices
• Texture specific mass matrices with Dirac neutrinos and their implications
• Maximal atmospheric neutrino mixing from texture zeros and quasi-degenerate neutrino masses
• Texture Zeros for Dirac Neutrinos and Current Experimental Tests
• Neutrino Mixing Angles from Texture Zeros of the Lepton Mass Matrices
• Zero Texture Model and SO(10) GUT

Cited by in corpus (24)

• On the four-zero texture of quark mass matrices and its stability
• Confronting predictive texture zeros in lepton mass matrices with current data
• Observable Lepton Number Violation with Predominantly Dirac Nature of Active Neutrinos
• Mu-tau reflection symmetry with a texture-zero
• The $\mu$-$\tau$ mixed symmetry and neutrino mass matrix
• A complete survey of texture zeros in general and symmetric quark mass matrices
• Discriminating Majorana Neutrino Textures in the light of Baryon Asymmetry
• Texture zeros of low-energy Majorana neutrino mass matrix in 3+1 scheme
• The other variants of mixed $\mu$-$\tau$ symmetry
• New textures for the lepton mass matrices
• Constrained Neutrino Mass Matrix and Majorana Phases
• Neutrino Mixing from a Fresh Perspective
• Five texture zeros in the lepton sector and neutrino oscillations at DUNE
• New texture-zero models for lepton mixing
• Neutrino mass matrices with three or four vanishing cofactors and non diagonal charged lepton sector
• Unveiling Neutrino Mysteries with $\Delta (27)$ Symmetry
• Implications of ${\delta }_l^{CP}\sim 270^{\circ }$ and ${\theta }_{23}\gtrsim 45^{\circ }$ for texture specific lepton mass matrices and $0\nu \beta \beta$ decay
• Flavored Peccei-Quinn symmetries in the minimal $\nu$DFSZ model
• Magic square and three-zero textures for Dirac neutrinos
• Is magic texture for Majorana neutrino immanent in Dirac nature?
• Modified TM2 for Reproducing All Best-Fit Values of Neutrino Mixing Angles
• Minimal U(1) two-Higgs-doublet models for quark and lepton flavour
• Minimal structure for neutrino mass matrix
• Investigating two-zero texture in the light of gauged Type-II seesaw